Hypothesis Test for a Regression Slope
A researcher conducted a study on the relationship between exercise duration, x, and weight loss, y. Based on previous research, the hypothesized slope of the population regression line is 0.03. A hypothesis test is performed to determine if the true slope differs from 0.03. The test yields a t-statistic of -2.45 with 28 degrees of freedom. At a significance level of α = 0.05, what is the appropriate conclusion?
A
Fail to reject H₀: β = 0.03
B
Reject H₀: β = 0 in favor of Hₐ: β ≠ 0
C
Reject H₀: β = 0.03 in favor of Hₐ: β < 0.03
D
Reject H₀: β = 0.03 in favor of Hₐ: β ≠ 0.03
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